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Finding the Third Proportional to 250,296 and 536,205

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Solution

The third proportional to 250,296 and 536,205 is: 1,148,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,296 : 536,205 = 536,205 : x
  2. Step 2: Convert to fraction form
    250,296/536,205 = 536,205/x
  3. Step 3: Cross multiply
    250,296x = 536,205 × 536,205
  4. Step 4: Simplify right side
    250,296x = 287,515,802,025
  5. Step 5: Solve for x
    x = 287,515,802,025/250,296
  6. Step 6: Final answer
    x = 1,148,703.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.